Question #89087

Consider the following equations: Qd = 31 - 3P and Qs = 6 + 2P, where Qd = quantity demanded and Qs = quantity supplied, P = price
Demand Schedule
Price Quantity demanded
$250 1500
$200 2100
$150 2700

Expert's answer

Solution: Demand equation ,Qd=313PQ_d = 31 -3P  ……………………..(1)

Supply equation, Qs=6+2PQ_s = 6 + 2P   ……………………..(2)

So, in equilibrium, Qd=QsQ_d = Q_s

                            or, 313P=6+2P31 - 3P = 6 + 2P

                            or, 5P=255P = 25

                            or, P=5P = 5

 

So, Qd=Qs=3115=16Q_d = Q_s = 31 – 15 = 16 [As, P = 5]


So, P=5P = 5 and Q=16Q = 16

 

 

Answer: So, price is $5 and quantity demanded is 16 unit.


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